Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra
classification
✦ hep-th
keywords
killingalgebraclassicalexchangemodelsnon-linearscalarsigma
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The Poisson brackets for non-linear sigma models on G/H are set up on the light-like plane. A quantity which transforms irreducibly by the Killing vectors, called Killing scalar, is constructed in an arbitrary representation of G. It is shown to satisfy the classical exchange algebra.
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